derivative of sqrt(4+3{f)(x})

Lösung

\frac{d}{d x} (4 + 3 f (x))

\frac{3 \frac{d}{d x} ( f ( x ) )}{2 4 + 3 f ( x )}

Schritte zur Lösung

\frac{d}{d x} (4 + 3 f (x))

Wende die Kettenregel an:

\frac{1}{2 4 + 3 f ( x )} \frac{d}{d x} (4 + 3 f (x))

= \frac{1}{2 4 + 3 f ( x )} \frac{d}{d x} (4 + 3 f (x))

\frac{d}{d x} (4 + 3 f (x)) = 3 \frac{d}{d x} (f (x))

= \frac{1}{2 4 + 3 f ( x )} \cdot 3 \frac{d}{d x} (f (x))

Vereinfache

\frac{1}{2 4 + 3 f ( x )} \cdot 3 \frac{d}{d x} (f (x)) : \frac{3 \frac{d}{d x} ( f ( x ) )}{2 4 + 3 f ( x )}

= \frac{3 \frac{d}{d x} ( f ( x ) )}{2 4 + 3 f ( x )}

l a pl a ce t r an s f or m e^{4 t}

x \to 0 lim ((\frac{2}{x})^{x})

x \to 4 + lim (4 x - 4)

\frac{\partial}{\partial x} (e^{3 x} sin (3 y))

\frac{d}{d x} (c_{1} e^{x} + c_{2} x e^{x})